Select the set of measurements that can form a triangle.

the frequency table shows the number of books some students read last summer. Based on the data in the table, which statement is

Whitepunk [10]

Answer:

A.) nine more girls read 6 or more than boys who read 6 or more books

Step-by-step explanation:

Let's examine the statements ...

a) 24 is 9 more than 15 . . . TRUE

b) 41 is 6 more than 36 . . . false

c) 32 is twice as many as 15 . . . false

d) 24 is twice as many as 48 . . . false

3 0

2 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

So

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

2 years ago

translate the phrase:""Three times the difference of a number and 9" " into an algebraic expression .Let x represent the real nu

erastovalidia [21]

3(x-9) that is the answer to this one.

6 0

2 years ago

WILL MARK BRAINLIEST WHOEVER ANSWERS CORRECTLY

chubhunter [2.5K]

Answer:

Step-by-step explanation:

Let the relation between the total number of candies (y) and number of bags (x) is,

y = mx + b

Here, b = Extra pieces of candies sitting outside the box.

m = Candies per box

From the question,

x = 4,(Number of bags are 4)

y = 4m + 4

If total number of candies are 36,

36 = 4m + 4

4m = 32

m = 8

Each bag will contain 8 candies.

Therefore, equation representing the relation is,

y = 8x + 4

Now complete the table by substituting the values of x,

x y

1 12

2 20

3 28

4 36

5 44

6 52

7 60

8 68

9 76

10 84

7 0

2 years ago

¿cualquier numero entero es un numero real ?

mote1985 [20]

Answer:

Los números enteros son los naturales, sus opuestos (negativos) y el cero. El conjunto de los números enteros se representa mediante una Z, Z= {0,1,-1,2,-2,3,-3,4,-4...}. Se cumple entonces que todo número natural es entero.

3 0

2 years ago